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Finding the Fourth Proportional to 99,672.92, 137,544.36 and 54,349.82

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Solution

The fourth proportional to 99,672.92, 137,544.36 and 54,349.82 is: 75,000.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,672.92 : 137,544.36 = 54,349.82 : x
  2. Step 2: Convert to fraction form
    99,672.92/137,544.36 = 54,349.82/x
  3. Step 3: Cross multiply
    99,672.92x = 137,544.36 × 54,349.82
  4. Step 4: Simplify right side
    99,672.92x = 7,475,511,208.02
  5. Step 5: Solve for x
    x = 7,475,511,208.02/99,672.92
  6. Step 6: Final answer
    x = 75,000.42

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.